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Simplifying 0.3(2x + 7) + 18.9 = 0.6(2x + -5) Reorder the terms: 0.3(7 + 2x) + 18.9 = 0.6(2x + -5) (7 * 0.3 + 2x * 0.3) + 18.9 = 0.6(2x + -5) (2.1 + 0.6x) + 18.9 = 0.6(2x + -5) Reorder the terms: 2.1 + 18.9 + 0.6x = 0.6(2x + -5) Combine like terms: 2.1 + 18.9 = 21 21 + 0.6x = 0.6(2x + -5) Reorder the terms: 21 + 0.6x = 0.6(-5 + 2x) 21 + 0.6x = (-5 * 0.6 + 2x * 0.6) 21 + 0.6x = (-3 + 1.2x) Solving 21 + 0.6x = -3 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. 21 + 0.6x + -1.2x = -3 + 1.2x + -1.2x Combine like terms: 0.6x + -1.2x = -0.6x 21 + -0.6x = -3 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 21 + -0.6x = -3 + 0.0 21 + -0.6x = -3 Add '-21' to each side of the equation. 21 + -21 + -0.6x = -3 + -21 Combine like terms: 21 + -21 = 0 0 + -0.6x = -3 + -21 -0.6x = -3 + -21 Combine like terms: -3 + -21 = -24 -0.6x = -24 Divide each side by '-0.6'. x = 40 Simplifying x = 40
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